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Finding the Fourth Proportional to 413,647.71, 570,802.72 and 232,324.22

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Solution

The fourth proportional to 413,647.71, 570,802.72 and 232,324.22 is: 320,589.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,647.71 : 570,802.72 = 232,324.22 : x
  2. Step 2: Convert to fraction form
    413,647.71/570,802.72 = 232,324.22/x
  3. Step 3: Cross multiply
    413,647.71x = 570,802.72 × 232,324.22
  4. Step 4: Simplify right side
    413,647.71x = 132,611,296,697.88
  5. Step 5: Solve for x
    x = 132,611,296,697.88/413,647.71
  6. Step 6: Final answer
    x = 320,589.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.